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add to it the epoch-making 'Eleventh Supplement' containing
an outline of his own theory of algebraic numbers. He also
became a friend of the great Riemann, then beginnhig his
career. DedekkuTs university lectures were for the most part
elementary, but in 1857-8 he gave a course (to two students,
Selling and Auwers) on the Galois theory of equations. This was
probably the first time that the Galois theory had appeared
formally in a university course. Dedekind was one of the first
to appreciate the fundamental importance of the concept of a
group hi algebra and arithmetic. In this early work Dedektod
already exhibited two of the leading characteristics of his later
thought, abstractness and generality. Instead of regarding a
finite group from the standpoint offered by its representation
in terms of substitutions (see chapters on Galois and Cauchy),
Dedekind defined groups by means of their postulates (substan-
tially as described in Chapter 15) and sought to derive their
properties from this distillation of their essence. This is in the
modern manner: abstractness and therefore generality. The
second characteristic, generality, is, as just implied, a conse-
quence of the first.
At the age of twenty-six Dedekind was appointed (hi 1857)
ordinary professor at the Zurich polytechnic, where he stayed
five years, returning in 1862 to Brunswick as professor at the
technical high school. There he stuck for half a century. The
most important task for DedeMnd's official biographer - pro-
vided one is unearthed - will be to explain (not explain away)
the singular fact that Dedekind occupied a relatively obscure
position for fifty years while men who were not fit to lace his
shoes filled important and influential university chairs. To say
that Dedekind preferred obscurity i-* one explanation. Those
who believe it should leave the stock market severely alone, fox
as surely as God made little lambs they will be fleeced.
Till his death (1916) in his eighty-fifth year Dedekind re-
mained fresh of mind and robust of body. He never married, but
lived with his sister Julie, remembered as a novelist, till her
death in 1914, His other sister, Mathilde, died in 1860; his
brother became a distinguished jurist.
Such are the bare facts of any importance ui Dedekind's